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Economics for Management Studies
Victor Yu

ECMB12SL30 and L60 Quantitative Methods in Economics II Division of Management and Economics University of Toronto at Scarborough Winter 2010 Dr Yu Final ExaminationDate Wednesday April 21 2010Time allowedTwo 2 hoursAids allowed Calculator and two aid sheets four 85x11 pages prepared by student NotesThis exam consists of 22 questions in 13 pages including this cover pageIt is the students responsibility to hand in all pages of this examAny missing page will get zero markStatistical tables are provided separatelyDo not hand in the tablesOnly hand in your test papersShow your work in each question in Part IIThis exam is worth 40 of your course gradePrint Last Name SolutionGiven Names Student Number Circle your Section L30 Wednesday eveningL60 online Defer Exam Circle your instructors name from below QuanTrippen Other please specifyDo not write on the space below for markers only Page Question Max Mark 26 118 5478 19 109 20 101011 21 101213 22 16Total 100 1 Part IMultiple Choice3 points in each question No part mark Circle only one answer If there are more than one correct answer circle the best one1 Supposeis to be tested againstat the 014 level 450pH450pH01of significance where p is the probability of getting a yes vote in a population If the sample size is 200 the smallest number of yes votes that will causeH0to be rejected is closest toa 85b 90c 94 d 98e 102 JSTest about a population proportion pp1pp000z pnp 2 Considerandwhereis the mean of a Normal 10H10H0apopulationA sample of size 16 is selected from this population and the sample standard deviation is calculated as 137The null hypothesis will be rejected at 5 significance level if a The sample mean is less than 927 b The sample mean is less than 940c The sample mean is less than 944d The sample mean is less than 927 or greater than 1073e The sample mean is less than 944 or greater than 1066 JS N1630t statistics x0t s n 3 Supposeis tested againstwhereandare 0H0H21021a2122the means of two normal populations with variancesand22522512respectivelyTwo independent random samples with sizes 18 and 18 are nn12selectedDenote the sample means byandrespectively The smallest YXHvalue forthat will lead to the rejection ofat a 5 significance level is YX0closest toa 1645 b 196c 8225d 84545e 98 JS Recall2
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